Main Page

From Polymath1Wiki
Revision as of 09:19, 9 March 2009 by 213.163.65.73 (Talk)

Jump to: navigation, search

comment6, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2279 Allegient air, 682832, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2199 Eos 5d mark ii, 496108, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2227 Thigh muscle pain, xzm, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2302 Psorasis, >:P, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2289 Dutch painter jan,  %D, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2309 Teenie tgp, nwi, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2181 Advent candle meaning, 87691, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2153 Human male castration, wrhein, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2164 Marriage license, lif, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2299 Morton's steakhouse, qwtfpk, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2270 Jugy,  :-P, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2303 Prontube, 98700, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2407 Elderhostel, 8-P, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2217 Goodmark, 102403, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2408 Airbrush art, =-(((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2329 Used tractors for sale, pve, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2201 Stealth cam, >:-]], http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2218 Baltimora, ebbfd, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2352 Sanrio wallpaper, 920275, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2341 Surplus electronics, ofou, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2119 Ip thermostat, 5632, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2144 Windowslivemessenger, 8)), http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2316 Viva la vida, 657, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2375 Finnteen, 704, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2317 Hypospadias, >:DD, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2276 Aiko tanaka, 51361, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2157 Haulmark trailer, 62315, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2196 Beograd nekretnine, 8], http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2186 Morgan spurlock, 8448, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2215 Wkbt, qotx, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2384 Arceus, >:-[[, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2266 Jwr, 8369, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2206 Planet urine reviews, bot, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2150 Brian popko, 8-P, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2262 Gonzo-movies, 063569, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2320 Phoebe cates, 7775, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2246 Horses mating, qlbrc, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2169 Betty friedan, 8983, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2154 Glastron boats, axpks, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2185 G spot orgasm technique,  :[[[, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2128 Smith sisters murdered anonymously, >:-P, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2171 Enema punishment stories, 747, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2163 Noticiero digital, =((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2346 Sommore, 0523, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2313 Morels, 8709, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2179 Roulette systems, 114, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2350 Nite flirt, >:-[, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2274 Luvbright,  :[, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2248 Aau track and field, 14564, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2238 Pokesav,  %[[[, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2110 Northern virginia daily, cbamh, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2225 Professional pregnancy photos, >:-((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2139 2010 ford taurus, lub, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2209 Meagan good nude, mlqhx, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2134 Lump charcoal, 8(, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2229 Rowing machine, cybpgf, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2137 Casual dating, wqw, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2389 Dave's esl cafe,  :PP, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2243 Icd9,  :-PP, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2265 Wisdom quotes, 946572, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2359 Gatorland, =-(((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2345 Mary waters, 38382, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2327 Naturlist, 662183, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2358 Ourei harada, 8684, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2168 Chameleon flat iron, dpvyhl, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2178 Tiva free porn, 25423, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2324 Fightzilla, 8]]], http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2363 Penectomy,  :)), http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2254 Turbonick, =((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2387 Gamma oryzanol, wpw, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2296 Foley catheter, >:PP, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2259 Club sissy, ragyjq, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2332 Oriole bird feeders,  %PPP, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2233 Pretty necks and nooses, wtlhnk, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2380 Starwars helpdesk, =-O, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2371 Outlook express problems, 243, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2252 Carmella garcia, 3087, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2109 Waether, sntpj, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2122 Episiotomy, 071129, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2205 Buttermilk biscuits, 8416, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2366 Frases romanticas, jwgvhu, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2344 Ingmar bergman, =OOO, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2194 Multiplication facts,  :-PP, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2112 Easygals, wyrgj, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2145 The lansing state journal, 8-), http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2357 Bebe neuwirth, scdmn, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2118 Cloth doll patterns, 285, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2220 Jefferson state community college, 9174, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2160 Forfaits internet haut debit,  %-OO, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2388 Uncle fester, =-[[[, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2285 Homebased travel business,  :-OOO, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2117 Bleachers skinhead, rjp, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2143 Halogen track lighting,  :-), http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2374 Dominicks, kcy, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2241 Status report management catalog eca, 8((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2146 Jumeirah guest, =-((, http://www.bronsonmedia.se/thehiddentree/forum/topic.asp?topic_id=2351 Myofascial pain syndrome,  %))),

Proof strategies

It is natural to look for strategies based on one of the following:

Related theorems

All these theorems are worth knowing. The most immediately relevant are Roth's theorem, Sperner's theorem, Szemerédi's regularity lemma and the triangle removal lemma, but some of the others could well come into play as well.

Important concepts related to possible proofs

Complete proofs or detailed sketches of potentially useful results

Attempts at proofs of DHJ(3)

Bibliography

Density Hales-Jewett

  1. H. Furstenberg, Y. Katznelson, “A density version of the Hales-Jewett theorem for k=3“, Graph Theory and Combinatorics (Cambridge, 1988). Discrete Math. 75 (1989), no. 1-3, 227–241.
  2. H. Furstenberg, Y. Katznelson, “A density version of the Hales-Jewett theorem“, J. Anal. Math. 57 (1991), 64–119.
  3. R. McCutcheon, “The conclusion of the proof of the density Hales-Jewett theorem for k=3“, unpublished.

Coloring Hales-Jewett theorem

  1. A. Hales, R. Jewett, Regularity and positional games, Trans. Amer. Math. Soc. 106 1963 222--229. MR143712
  2. N. Hindman, E. Tressler, "The first non-trivial Hales-Jewett number is four", preprint.
  3. P. Matet, "Shelah's proof of the Hales-Jewett theorem revisited", European J. Combin. 28 (2007), no. 6, 1742--1745. MR2339499
  4. S. Shelah, "Primitive recursive bounds for van der Waerden numbers", J. Amer. Math. Soc. 1 (1988), no. 3, 683--697. MR 929498

Roth's theorem

  1. E. Croot, "Szemeredi's theorem on three-term progressions, at a glance, preprint.

Behrend-type constructions

  1. M. Elkin, "An Improved Construction of Progression-Free Sets ", preprint.
  2. B. Green, J. Wolf, "A note on Elkin's improvement of Behrend's construction", preprint.
  3. K. O'Bryant, "Sets of integers that do not contain long arithmetic progressions", preprint.

Triangles and corners

  1. M. Ajtai, E. Szemerédi, Sets of lattice points that form no squares, Stud. Sci. Math. Hungar. 9 (1974), 9--11 (1975). MR369299
  2. I. Ruzsa, E. Szemerédi, Triple systems with no six points carrying three triangles. Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. II, pp. 939--945, Colloq. Math. Soc. János Bolyai, 18, North-Holland, Amsterdam-New York, 1978. MR519318
  3. J. Solymosi, A note on a question of Erdős and Graham, Combin. Probab. Comput. 13 (2004), no. 2, 263--267. MR 2047239

Kruskal-Katona theorem

  1. P. Keevash, "Shadows and intersections: stability and new proofs", preprint.